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Finding the Fourth Proportional to 100,390, 138,538.20 and 55,678

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Solution

The fourth proportional to 100,390, 138,538.20 and 55,678 is: 76,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,390 : 138,538.20 = 55,678 : x
  2. Step 2: Convert to fraction form
    100,390/138,538.20 = 55,678/x
  3. Step 3: Cross multiply
    100,390x = 138,538.20 × 55,678
  4. Step 4: Simplify right side
    100,390x = 7,713,529,899.60
  5. Step 5: Solve for x
    x = 7,713,529,899.60/100,390
  6. Step 6: Final answer
    x = 76,835.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.